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3833303616, 1544080320, 484475904, 117790848, 21936096, 3066336, 311040, 21600, 918, 18;\n","recurrence_sentence":"The row polynomials satisfy (n-1)*P(n,x) = (6*n+6*n*x+n*x^2)*P(n-1,x) for n >= 2, with P(0,x) = 0, P(1,x) = 6 + 2*x.","mathematica":"P[0, x_] := 0;\nP[1, x_] := 6 + 2*x;\nP[n_, x_] := P[n, x] = Expand[Together[((6*n + 6*n*x + n*x^2)*P[n - 1, x])/(n - 1)]];\nTable[CoefficientList[P[n, x], x], {n, 0, 9}] // Flatten","pari":"P(N) = {my(v = vector(N + 1)); v[1] = 0; v[2] = 6 + 2*x; for(n = 2, N, my(i = n + 1); v[i] = ((6*n + 6*n*x + n*x^2)*v[i - 1])/(n - 1)); v};\nrow(n, p) = {my(c = Vecrev(p)); c};\nT(N) = {my(v = P(N)); concat(vector(#v, i, row(i - 1, v[i])))};\nT(9)","reading":{"first_row":0,"offset":0,"reversed":false,"trim_zeros":"none","regular_triangle":false}}],"derivation":{"root":"n-d3c3090977105807","steps":["x \u21a6 x+1","D"],"edges":["e-33933faab90bc4be","e-d27afe8ef6c8cd8c"],"text":"A272867 \u2192 x \u21a6 x+1 \u2192 D"},"headline":"A272867 \u2192 x \u21a6 x+1 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